One approach would be to poison the environment and create a climate so toxic even the little black worms can't survive. History has taught us that is not the right approach. University of Florida has been on the forefront of teaching Floridians to co-exist with the environment as evidenced by the mountainous ant mounds on the main campus grounds.
Remove, not poison, from the area what is attracting or providing the habitat for these worms. Then, get out the chalking gun and seal the areas around the base and entry points where they are finding entry into your enclosed patio. 100 percent of every inch of the base needs to be sealed, annually. Reduce the use of exotic foliage and stay to drought resistant, native plants. 99% of celebrating the Florida life style is coming to terms with the need to acclimate to the climate and environment. Those whose intent is to change or avoid what is Florida seldom leave the state with fond memories. They only see, humidly, sand, ants, sea fog and crawling things.
Have you encountered the little green ones that parachute from the trees in April?
You may find the county or city arborist a good resource in identifying the prime cause and best remedy.